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Simplifying 11 + -7(x + -3) = 4x + 3(1 + -1x) Reorder the terms: 11 + -7(-3 + x) = 4x + 3(1 + -1x) 11 + (-3 * -7 + x * -7) = 4x + 3(1 + -1x) 11 + (21 + -7x) = 4x + 3(1 + -1x) Combine like terms: 11 + 21 = 32 32 + -7x = 4x + 3(1 + -1x) 32 + -7x = 4x + (1 * 3 + -1x * 3) 32 + -7x = 4x + (3 + -3x) Reorder the terms: 32 + -7x = 3 + 4x + -3x Combine like terms: 4x + -3x = 1x 32 + -7x = 3 + 1x Solving 32 + -7x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -7x + -1x = 3 + 1x + -1x Combine like terms: -7x + -1x = -8x 32 + -8x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 32 + -8x = 3 + 0 32 + -8x = 3 Add '-32' to each side of the equation. 32 + -32 + -8x = 3 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 3 + -32 -8x = 3 + -32 Combine like terms: 3 + -32 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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